113327424 has 196 divisors, whose sum is σ = 386449824. Its totient is φ = 32285952.

The previous prime is 113327407. The next prime is 113327429. The reversal of 113327424 is 424723311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113327429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326419 + ... + 326765.

Almost surely, 2^113327424 is an apocalyptic number.

113327424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193224912).

113327424 is an abundant number, since it is smaller than the sum of its proper divisors (273122400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113327424 is an frugal number, since it uses more digits than its factorization.

113327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 113327424 is about 10645.5354022238. The cubic root of 113327424 is about 483.9253123375.

The spelling of 113327424 in words is "one hundred thirteen million, three hundred twenty-seven thousand, four hundred twenty-four".